20. The diagonals of a rectangular trapezold have a length 13 cm and 15 cm and the difTerence in the length of the bases is equal to 4 cm . Calculate the area of this trapezoid.

Q: 9.) The lengths of the sides of a rhombus and one of it's diagonals are each 10 m. What is the area…

A: Consider the figure:

Q: A piece of wood in the form of an isosceles triangle whose base angles measures 55°. If the length…

A:

Q: that are The walls of a toilet, 2.5 m long, wide and 3 m high, are to be covered with tiles 15 cm by…

A: Dimensions of each tile is given as: 15cm×15cm Then, area covered by each tile is:  15×15=225cm2…

Q: An isosceles triangle whose equal sides form an angle θ and whose third side has length t sits on…

A:

Q: 4. Find the area of the largest isosceles trapezoid inscribed in a semicircle of radius 4 inches if…

A:

Q: 2. A rectangular box open at the top with square ends is to be built to hold 392 ft at a cost of Php…

A: Given volume of The bar is 392ft3 Cost for making of base is php 75/ft2 and for sides Php 50/ft2…

Q: 6. Calculate the area of a regular octagon, if each side is 5 cm and the width across the flats is…

A:

Q: 4 If the radius of circle Y is 7.5 inches, then the area of circle Y is:

A: Area of circle =πr^2

Q: A shipping container is in the shape of a right rectangular prism with a length of 11.5 feet, a…

A:

Q: A circle has an area of 144 cm^2 is cut into two segments by a chord that is 9 cm from the center of…

A: Given: The area of the circle is 144π cm2 here you doing typing mistake , area should be 144π if…

Q: A shipping container is in the shape of a right rectangular prism with a length of 14 feet, a width…

A: Mensuration Question

Q: 8. A rectangular plot of land is to be seeded with grass. If the plot is 22 m by 28 m and a 1kg bag…

A: Given that, Dimension of rectangular plot = 22 by 28 1 kg bag of seed cover an area of 85 sq m

Q: c) A triangular sail has a perimeter of 25 m. Side a is 2 m shorter than twice side b, and side cis…

A: Find the side a,b,c

Q: A factory is to be built on a lot measuring 100 ft by 240 ft. A local building code specifies that a…

A: Solving this question, we can construct a quadratic equation that represent the situation. We can…

Q: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each…

A: Given, the surface of soccer ball is composed of 12 regular pentagons and 20 regular hexagons. Each…

Q: Two regular octagons have perimeters 16 cm and32 cm, respectively. What is the ratio of their areas?

A: Given the perimeters of the reegular octagons are 16 cm and 32 cm. Thus for the first regular…

Q: What is the side length of the smallest square plate on which a 40-cm chopstick can fit along a…

A: Let us consider the square plate with side a .

Q: 4. A coffee shop owner has 32 m² of brick to use for the floor of a patio along the side of the…

A:

Q: 4. To the nearest hundredth, what is the area of a parallelogram whose sides are 20.8 cm and 10.9 cm…

A:

Q: 8. If the length of this parallelogram is 12 cm long and the width is 8cm long. how long is its…

A:

Q: 3. If one side of a rhombus measures 12 cm, find its perimeter.

A: If one side of a rhombus measures 12 cm. We have to find the perimeter of rhombus.

Q: a. If the area of a square is 441 cm, what is its perimeter? b. If the perimeter of a square is 88…

A: (a) Given that, the area of the square is 441 cm2. That is, Area of the square =a2=side2=441 cm2…

Q: 36. Arectangular ostrich pen built along the side of a river (so that only three sides of fence are…

A: 36)To find the maximum area

Q: 2. The width of a rectangular lot is 3 meters less than its length, if the area of the lot is at…

A:

Q: A soccer field is 90 m wide and 120 m long. If coach Schwartz asks players to run from one corner…

A: The soccer field is in a rectangular shape whose width is 90 meters  and  length is  120 meters.

Q: If the length of a side of the polygon is 2 units, what is the area of the polygon?

A:

Q: The base edge of the right triangular prism is an equilateral triangle whose perimeter is 33.6 cm.…

A: Topic = Mensuration

Q: Based on the image attached, it shows a quadrilateral ABCD. Calculate, a) ∠CBD, b) the length, in…

A:

Q: Determine the area of rhombus ABDC if its perimeter is 100 cm, and the length of AD is 14 cm.

A:

Q: 13. If an equilateral triangle has an altitude that is 15 inches long. What is the length of the…

A: Since, we hhave been given that an equilateral triangle has an altitudethat is 15 inches long. Our…

Q: 3. If a trapezoid has an altitude of 15 inches, an area of 105 square inches, and one of the bases 5…

A:

Q: Suppose a farmer wants to put a fence around their square property that has an area of 66 units.…

A: Given query is to find the amount of fencing required.

Q: A quadrilateral with sides 8 cm. 9 cm, 6 cm. and 5 cm has area 45 cm2. Find the area of a similar…

A: Quadrilateral : A quadrilateral with sides 8 cm, 9 cm, 6 cm, 5 cm. The area is 45 cm2.

Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: In the given question we have to maximize the area .

Q: 1. Find the total area and volume of frustum of regular square pyramid, whose base have sides 10 cm…

A:

Q: 2. A circle with radius 7cm has half its area removed by cutting off a border of uniform width. Find…

A: We have to find width of border.

Q: 6. Find the difference of the areas of a square and a semi-circle if the square is inscribed in the…

A:

Q: 6. The area of a trapezium is 400 cm2 and the length of the parallel sides is 13 cm and 27 cm. Find…

A: We have to use area of trapezium formula.

Q: A cabinet maker wants to make a simple open cab- inet as shown at right. If the middle shelf is to…

A: Solve according to the question

Q: 2. The length of the diagonal of a square is 4 cm shorter than the perimeter of an equilateral…

A:

Q: 2. Find the length of a rectangular lot 14 m wide and with 50 m digonal path.

A: As per guidelines we have to solve one question

Q: 19. The area of an isosceles trapezoid is 108 cm? and the height of the trapezoid is equal 9cm.…

A:

Q: A quadrilateral has sides equal to 7, 8, 10, and 12 mm. Assuming that the sum of the opposite angles…

A: Given,            A quadrailateral has sides equal to 7,8,10 and 12 mm. Assuming that the sum of the…

Q: A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width…

A:

Q: 9. A trapezoid has a height of 24 meters, a base of 4 meters, and an area of 264 square meters. What…

A: Given : A trapezoid has a height of 24 meters, a base of 4 meters, and an area of 264 square…

Q: 2. A trapezoid 6 m in altitude have bases of 12 m and 18 m respectively. If it is divided into two…

A:

Q: Please write detail explaination, approach and so on

A: Length of the diagonal of the square = 13' - 9"1' = 12"Hence, length of diagonal in inches = 13 x 12…

Q: This shape consists of 6 congruent rectangles. If a single rectangle has a perimeter of 222 meters,…

A:

Q: Mary Frances has a rectangular garden plot that encloses an area of 48 yd?. If 28 yd of fencing are…

A: Given: The area of a rectangular garden is 48 yd2. For fencing the garden the length required is 28…

Q: 24. What is the area of the largest circle contained in an equilateral triangle of area 8/3.

A: Now we will solve the given problem.  we know,     Formula  of circle is = pi*r2